旅游景区点系统空间结构关联维数分形研究以南京市景区点系统为例

28120061RESOURCESSCIENCEVol.28,No.1Jan.,2006:1007-7588(2006)01-0180-06:2005-03-24;:2005-06-03::(1976),,,,E2mail:[e-mail]()(),(,210093):(),()(),(),,(),,,(),;,,:();;;;1(),(),(),()()(),,(),,()(),[1],[2];[3](),(),[4][5],[6][7][8],,,,(),[9],,,,[4](),,(),,,;,,,;,,,()()©1995-2006TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,[10],,()2()211[11],,,:{x1,x2,x3,,xi,},k:Xi(i=1,2,3,,k)kX1;Xi+1(i=1,2,3,,k)X2;,kN:X1(x1,x2,,xk)X2(x2,x3,,xk+1)XN(XN,XN+1,,Xk+N-1),,kN,(Xi,Xj)|XiXj|,N2,C(r):C(r)=1N2Ni,j=1H(r-|Xi-Xj|):H(x)Heaviside,H(x)=1x00x0,Hausdorff,Dg=limr0ln(r)ln(1Pr)212(),,:C(r)=1N2Ni,j=1H(r-dij):r(yardstick);dijij(crowdistance)[12],,,:C(r)C(r)C(r)r=D,r0,:Dlnr=lnC(r),,,C(r),r,C(r),(r,C(r)),D,,02,D0,;D2,,,[13,14],1D2,D,,D1,[5]3(),()311(),,(),3,,,,,,,;,,(),13,16,45;14GPS181281:()©1995-2006TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,312,,,,,Mapinfo,,,(1234),(1),,D(5)1,,,,,,;,,,,,,;,,,,,;,,,5,D1,,,D,,,,1Table1Thedeterminingdatesofcorrelationdimensionofthetouristnorthernscenicspotssystemsr521550471545421540371535321530N(r)167167165165165165157153143129C(r)019882019882019763019763019763019763019290019053018462017633r2715252215201715151215107155N(r)1211079375695545372717C(r)0171600163310155030144380140830132540126630121890115980110062Table2Thedeterminingdatesofcorrelationdimensionofthesoutherntouristscenicspotssystemsr5215501047154510421540103715351032153010N(r)252248240228216202186176158154C(r)019844019688019375018906018438017891017266016875016172016016r27152510221520101715151012151010715510N(r)1441401341281089076544224C(r)0156250154690152340150000142190135160129690121090116410109383Table3Thedeterminingdatesofcorrelationdimensionofthemiddletouristscenicspotssystemsr601057155510521550104715451042154010371535103215N(r)202320212021201920172011200519951989196919331873C(r)019990019980019980019970019960019931019901019852019822019723019546019249r301027152510221520101715151012151010715510215N(r)1817173316271521136912391059863639467275119C(r)0189730185580180350175110167600161190152300142620131560123060113580105884Table4ThedeterminingdatesofcorrelationdimensionofthetouristscenicspotssystemsinNanjingr125120115110105100959085807570N(r)194194194192192192192184182178170170C(r)019898019898019898019796019796019796019796019388019286019082018673018673r656055504540353025201510N(r)1681641561481341301109684664830C(r)0185710183670179590175510168370166330156120148980142860133670124490115315()Table5ThevaluesoffractalcorrelationdimensionofthetouristscenicspotssystemsDR2DR2DR2DR2111255019970111893019969111949019985019855019926,,,(),()(DiffusionLimitedClusterAggregation)[15],,,281281©1995-2006TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.1Fig11Thelog2logplotforthecorrelationdimensionofdifferenttouristscenicspotssystemsinNanjing[16,17],(),,1,;(),,(),(),[17],,,,,,,,,,,,,,,,,,,,,,,,,,(),,381281:()©1995-2006TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,,,,,,,,,,,,,,(),(),,,,,,,,,,,(),4,(),,,[18],,;,;,,,,;,(),(),,,;,,,,,,,,,(References):[1],.[M].:,19871[ZOUShan2guang,etalCompile.ScienceAboutSystem[M].Shanghai:ShanghaiPeoplePress,1987.][2],.[M].:,1982.[QIANXue2sen.TheoryAboutSystemsEngineering[M].Changsha:HunanScienceandTechnologyPress,1982.][3],,,.[J].,2002,51(4):731735.[CHENYong2hong,ZHOUTong,HEDai2hai,etal.Newmethodstostudythephaseofchaoswithmultiplerotatingcenter[J].ActaPhysicaSinica,2002,51(4):731735.][4],.[J].,1997,12(1):6266.[CHENYan2guang,WANGYi2ming.Onfractalsandtouristlandscapes[J].HumanGeography,1997,12(1):6266.][5],,,.[J].,2003,25(2):1419.[MAJian2hua,ZHAOQing2liang,HANJin2xian,etal.FractalgeometryanalysisofforestcoveranditschangesatLuoningCountryinHenanProvince[J].ResourcesScience,2003,25(2):1419.][6],.[J].,1999,18(2):171178.[LIUJi2sheng,CHENYan2guang.Fractaldimensionsofspatialstructureofanurbansystemandthemethodsoftheirdetermination[J].GeographicalResearch,1999,18(2):171178.][7],.[J].,2002,17(1):2428.[LIUJi2sheng,CHENYan2guang.Thelocationprocessofpopulationdynamicsandfractalformofcities[J].HumanGeography,2002,17(1):2428.]481281©1995-2006TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.[8],.[J].,1999,54(5):471475.[LIUJi2sheng,CHENYan2guang.Astudyonfractaldimensionsofspatialstructureoftransportnetworksandthemethodsoftheirdetermination[J].ActaGeographicalSinica,1999,54(5):471475.][9],.[J].,1996,12(1):3539.[CHENTao,LUOHong2yu.Ainformaticsresearchontouristbehavioressence[J].GeographyandTerritorialResearch,1996,12(1):3539.][10],.[M].:,1992.4546.[LINHong2yi,LIYing2xue.TheFractalTheory2aApproachtoStrange[M].Beijing:BeijingInstituteofTechnologyUniversityPress,1992.4546.][11],.[J].,2000,20(2):69.[ZHUXiao2hua,MAOJian2ming.Non2linearmethodsforstudyonchaoticcharacteristicofeconomicalseries[J].EconomicGeography,2000,20(2):69.][12]KayeBH.ARandomWalkthroughFractalDimensions[M].VCHVerlagsgesellshaft,Germany,1989.[13]ArlinghausS..Fractalstakecentralplace[J].GeografiskaAnnaler,1985,67(B):8388.[14].[J].,1998,13(3):1924.[CHENYan2guang.Fractalsandfractaldimensionsincentralplacesystems[J].HumanGeography,1998,13(3):1924.][15].[